Now suppose that the game is repeated indefinitely. Define the concepts of Trigger Strategies and also the concept of Business as Usual Strategies for the repeated game. Verify that trigger strategies supporting cooperative payoffs (20,20) constitute a non-cooperative equilibrium of the repeated game when δ=0.8. Are trigger strategies still an equilibrium when δ=0.30? Explain intuitively why and verify that Business as Usual still is an equilibrium in this case.

Economics (MindTap Course List)
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Author:Roger A. Arnold
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Chapter30: Market Failure: Externalities, Public Goods, And Asymmetric Information
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suppose that the world is comprised of two countries: X and Y.  Because of the absence of centralized world governance, the control of global externalities is particularly challenging, which is the case with greenhouse gases linked to climate change.  The entries in the following Payoff Table describe each country's well-being under different abatement patterns:

 

 X\Y  No Abate Abate 
 No Abate  12,12  24,8
 Abate  8,24  20,20
  1.  Now suppose that the game is repeated indefinitely. Define the concepts of Trigger Strategies and also the concept of Business as Usual Strategies for the repeated game. Verify that trigger strategies supporting cooperative payoffs (20,20) constitute a non-cooperative equilibrium of the repeated game when δ=0.8. Are trigger strategies still an equilibrium when δ=0.30? Explain intuitively why and verify that Business as Usual still is an equilibrium in this case.
Suppose that the world is comprised of two countries: X and Y. Because of the absence of centralized world
governance, the control of global externalities is particularly challenging, which is the case with greenhouse gases
linked to climate change. The entries in the following Payoff Table describe each country's well-being under
different abatement patterns:
No
XIY
Abate
Abate
No
12,12
24,8
Abate
Abate
8,24
20,20
Transcribed Image Text:Suppose that the world is comprised of two countries: X and Y. Because of the absence of centralized world governance, the control of global externalities is particularly challenging, which is the case with greenhouse gases linked to climate change. The entries in the following Payoff Table describe each country's well-being under different abatement patterns: No XIY Abate Abate No 12,12 24,8 Abate Abate 8,24 20,20
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